Prime p₀= 2183556579928594667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-FC] hl
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2183555337555456817	0 16 36 52 82 94 96 124 222 250 252 264 294 310 330 346	-1242373137850
TPT(14)	2183555685940214321	0 2 30 32 156 158 180 182 246 248 306 308 360 362	-893988380346
SPT(16)	2183556059868007339	0 12 22 42 48 130 154 180 232 258 282 364 370 390 400 412	-520060587328
SPT(16)	2183556117662030207	0 42 50 66 90 120 162 186 206 230 272 302 326 342 350 392	-462266564460
SPT(16)	2183556151438624861	0 12 42 66 82 136 148 250 288 390 402 456 472 496 526 538	-428489969806
STPT(10)	2183556392205971591	0 2 6 8 48 50 90 92 96 98	-187722623076
STPT(10)	2183556667229845949	0 2 18 20 30 32 42 44 60 62	87301251282
STPT(10)	2183556714989374391	0 2 6 8 18 20 30 32 36 38	135060779724
STPT(10)	2183556799738644257	0 2 54 56 72 74 90 92 144 146	219810049590
SPT(16)	2183556918624701077	0 30 34 40 54 94 132 154 162 184 222 262 276 282 286 316	338696106410
SPT(16)	2183557035514000823	0 18 36 66 84 96 98 134 150 186 188 200 218 248 266 284	455585406156